Kinetic energy via angular momentum and angular velocity
========================================================

Kinetic energy of a body rotating around a fixed or instantaneous axis depends on its
angular momentum and angular velocity.

.. py:currentmodule:: symplyphysics.classical_mechanics.dynamics.rotational_motion.kinetic_energy_via_angular_momentum_and_angular_velocity

.. py:data:: kinetic_energy

    :attr:`~symplyphysics.symbols.classical_mechanics.kinetic_energy` of the rotating body.

Symbol:
    :code:`K`

Latex:
    :math:`K`

Dimension:
    :code:`energy`


.. py:data:: angular_momentum

    Pseudovector of the body's :attr:`~symplyphysics.symbols.classical_mechanics.angular_momentum`.

Symbol:
    :code:`L`

Latex:
    :math:`{\vec L}`

Dimension:
    :code:`length**2*mass/time`


.. py:data:: angular_velocity

    Pseudovector of the body's angular velocity. See :attr:`~symplyphysics.symbols.classical_mechanics.angular_speed`.

Symbol:
    :code:`w`

Latex:
    :math:`{\vec \omega}`

Dimension:
    :code:`angle/time`


.. py:data:: law

    :laws:symbols::

    Latex:
        .. math::
            K = \frac{\left( {\vec L}, {\vec \omega} \right)}{2}